To solve this problem you must apply the proccedure shown below:
1.You have that the measure of the <span>leans a 4-foot and the angle between the bottom of the broom and the floor is 72°.
2. Then, you have:
Sin(72°)=x/4
When you solve for x, you obtain the following result:
4Sin(72°)=x
x=3.8 feet
The answer is: 3.8 feet</span>
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and c the y- intercept )
(1)
Here m = 6 and b = - 2, then
y = 6x - 2
(2)
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Here m = - 2 and b = 5, then
y = - 2x + 5 ← equation in slope- intercept form
Add 2x to both sides
2x + y = 5 ← equation in standard form
(3)
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (6, - 13) and (x₂, y₂ ) = (- 4, - 3)
m = 
= 
= - 1 , then
y = - x + b ← is the partial equation
To find b substitute either of the 2 points into the partial equation
Using (- 4, - 3 ) , then
- 3 = 4 + b ⇒ b = - 3 - 4 = - 7
y = - x - 7 ← equation in slope- intercept form
Add x to both sides
x + y = - 7 ← equation in standard form
<span> - </span>1/45<span> = - </span>1/45 = - 0.022222222222 <span>Fraction </span>can<span>'t be reduced</span>
Answer:
76
Step-by-step explanation:
19 out of 50 are in 7th grade.
200/50 = 4
Multiply both numbers in the ratio by 4.
19 out of 50 = 76 out of 200
Answer: 76
Answer:
the Bision is 10 miles / hour faster if he could keep it up
Step-by-step explanation:
There are 60 minutes in an hour.
Therefore the bison can run [3520 feet / min] * [60 min ] =211288 feet in an hour.
Now you have to convert 212200 to miles. Do this by dividing by 5280
212200/5280 = 40 miles.
Kind of hard to believe isn't it. 40 miles is a long way when you are running it.
The bison is faster by 10 miles / hour.
This can be done all in 1 step if you know how to do dimensional analysis
3520 feet / minute * [ 60 min/ hour ] * [ 1 mile / 5280 feet] = 40 miles
